Question

Write the equation of the line with x-intercept 3 and passing through the point (5,4).

Answer 1

Answer:

The equation of the line is y = 2x - 6

Step-by-step explanation:

To find the equation of this line, we first need to find the slope. To find a slope you need two ordered pairs, which you have here. The first is (5, 4) and the second is (3, 0) - which is the x-intercept of 3. Now that we have this, we can plug into the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - 0)/(5 - 3)

m = 4/2

m = 2

Now that we have the slope, we can use that and either point in point-slope form. Once we do that, we solve for y to get the equation.

y - y1 = m(x - x1)

y - 4 = 2(x - 5)

y - 4 = 2x - 10

y = 2x - 6